Scars in Groups of Eigenfunctions

  • F. Borondo
  • G. G. de Polavieja
  • R. M. Benito
Part of the NATO ASI Series book series (NSSB, volume 331)


A great deal of interest has been devoted recently to the study of quantum systems whose classical counterparts are chaotic1–3. Many authors have considered the distribution of energy levels, and demonstrated the validity of random matrix theory4. Also, the long range correlations in chaotic spectra have been related to classical periodic orbits (PO)5 using a PO summation formulae due to Gutzwiller1,6. In a series of papers, Gutzwiller constructed a semiclassical version of the quantum mechanical Green’s function in terms of classical orbits, and applied it to the calculation of eigenvalues of classically chaotic systems6,7.


Periodic Orbit Random Matrix Theory4 Classical Orbit Husimi Function Quartic Oscillator 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • F. Borondo
    • 1
  • G. G. de Polavieja
    • 1
  • R. M. Benito
    • 2
  1. 1.Dep. de Química, C-XIVUniversidad Autónoma de Madrid CANTOBLANCOMadridSpain
  2. 2.Dep. de Física Aplicada. ETSI de TelecomunicaciónUniversidad Politécnica de MadridMadridSpain

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